V2EX angular frequency

Angular Frequency

Definition / 定义

角频率:描述周期运动(如简谐振动、波动、交流电)相位随时间变化快慢的量,常用符号 ω 表示,单位为 rad/s(弧度每秒)。与频率 f 的关系为:ω = 2πf。在物理与工程中常用于写出形式如 x(t)=A cos(ωt+φ) 的表达式。

Pronunciation / 发音

/jlr frikwnsi/

Examples / 例句

The angular frequency is 2π times the frequency.
角频率等于频率的 2π 倍。

In a driven oscillator, resonance occurs when the driving angular frequency matches the system’s natural angular frequency.
在受迫振动中,当驱动角频率与系统的固有角频率相等时会发生共振。

Etymology / 词源

angular 来自拉丁语 angulus(“角”),表示“与角度有关的”;frequency 来自拉丁语 frequentia(“频繁、次数多”)。合起来的 angular frequency 字面意思是“以角度(相位角)来计量的频率”,强调用弧度而非“每秒多少次”的方式表述周期变化速度。

Related Words / 相关词

Literary Works / 文学作品

  • The Feynman Lectures on Physics(费曼《物理学讲义》)
  • Introduction to Electrodynamics(David J. Griffiths《电动力学导论》)
  • Classical Mechanics(Herbert Goldstein《经典力学》)
  • Vibrations and Waves(A. P. French 或相关同名经典教材版本中常见该术语)
  • Principles of Optics(Born & Wolf《光学原理》)
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